488809152 has 168 divisors, whose sum is σ = 1561581840. Its totient is φ = 145152000.

The previous prime is 488809129. The next prime is 488809169. The reversal of 488809152 is 251908884.

It is a happy number.

488809152 is a `hidden beast` number, since 488 + 80 + 91 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 488809098 and 488809107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216027 + ... + 218277.

It is an arithmetic number, because the mean of its divisors is an integer number (9295130).

Almost surely, 2^488809152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780790920).

488809152 is an abundant number, since it is smaller than the sum of its proper divisors (1072772688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

488809152 is a wasteful number, since it uses less digits than its factorization.

488809152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 488809152 is about 22109.0287439317. The cubic root of 488809152 is about 787.7343363085.

The spelling of 488809152 in words is "four hundred eighty-eight million, eight hundred nine thousand, one hundred fifty-two".